How many sides does a pentagon have?
[1]
Write down the mathematical name of this solid.
[1]
The angles in a triangle are 40°, 50° and 90°.
Write down the mathematical name for this type of triangle.
[1]
Work out.
Work out.
Use one of these symbols <, > or = to make each statement true.
Insert one pair of brackets to make the calculation correct.
5 × 7 + 1 ÷ 9 = 4
[1]
In a quiz, Darcy answered 16 of the 20 questions correctly.
What fraction of the questions did Darcy answer correctly? Give your fraction in its lowest terms.
[2]
Work out.
Here is a function.
Find the output when the input is 2.
[1]
Find the input when the output is 63.
[2]
A shopper buys 4 apples costing 60 p each and 3 peaches. They pay with a £5 note and receive 44 p in change. Each peach costs the same amount.
Work out the cost of one peach. You must show your working.
[5]
Ben and Sundip are making pancakes using the ingredients below.
The ratio of the amount of water to the amount of milk needed is 75: 200.
Write this ratio in its simplest form.
[2]
Ben makes 18 pancakes.
Work out how much flour he needs.
[2]
Sundip has 225 g of butter and 10 eggs. She has plenty of the other ingredients.
Work out the maximum number of pancakes that she can make.
[4]
Ali (A), Blake (B), Rowan (R) and Sam (S) are in a relay team. Sam always runs fourth in the team. The order for the other three is chosen at random.
Complete this table to show all the possible orders for the team. The first row has been completed for you. You may not need to use all the rows.
[2]
Find the probability that Ali will run first.
[2]
The shape below is formed by a rectangle of width 4 cm and a regular pentagon. For the rectangle, the ratio of the width to the length is 2: 5.
Work out the perimeter of the shape.
[4]
Reece is given this question.
Write 20 as a product of prime factors. Give your answer in index form.
Reece’s answer is 2 × 2 × 5.
Is Reece correct? Explain your answer.
[1]
A car mechanic has a tin containing 5 litres of engine oil. Each week they use 450 millilitres of this oil for their vehicles.
The car mechanic says
After 9 weeks I will have used over 80% of the oil in this tin.
Are they correct? Show how you decide.
[5]
Here are sketches of five graphs.
Write the letter of the graph that represents the following relationships.
The diagram shows a prism.
Draw an accurate plan view of the prism on the one-centimetre square grid below.
[3]
Show that the volume of the prism is 72 cm3.
[2]
A cuboid with a square base also has a volume of 72 cm3. The height of the cuboid is 2 cm.
Work out the length of one side of the square base.
[3]
The table shows the marks obtained by 10 students in spelling tests in January and February.
| Mark in January | 26 | 53 | 50 | 48 | 30 | 66 | 70 | 44 | 37 | 38 |
| Mark in February | 42 | 58 | 68 | 58 | 66 | 82 | 86 | 60 | 48 | 50 |
The marks for the first six students are plotted on the scatter diagram.
Plot the marks for the remaining four students.
[2]
Describe the type of correlation shown in the completed scatter diagram.
[1]
On the scatter diagram, circle the student that made the greatest improvement in their
marks from January to February.
[1]
Work out the percentage change in this student’s marks from January to February.
[3]
Another student, Kai, scored 79 marks in the test in January but was absent for the test in February.
Kai says
I could use a line of best fit on the scatter diagram to estimate the marks I may have achieved in the test in February.
Is Kai’s method reliable? Give a reason for your answer.
[1]
A worker received a 10% pay increase in 2017 and a further 10% pay increase in 2018. The worker says
Over these two years, my pay increased by 10% + 10% = 20%.
The worker is incorrect.
Work out the correct percentage increase. You must show your working.
[5]
Force is measured in newtons (N). A force of 198.5 N is applied to a rectangular surface of length 4.9 cm and width 4.1 cm.
Work out an estimate of the pressure, in N / cm2, applied to this rectangular surface.
[The formula for pressure is: Pressure = 
[4]
Complete this table for y = x2 - 3.
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| y | 1 | -2 | -2 | 1 | 6 |
[2]
Draw the graph of y = x2 - 3 for values of x from -3 to 3.
[3]
Use your graph to solve x2 - 3 = 2.
[2]
A journalist is going to do a survey to find out whether people aged 15 or less spend more time playing computer games than people aged more than 15.
The journalist says their sample will be the first 20 people leaving a particular shop after 9 am next Monday.
Give one reason why the journalist’s sample is unlikely to give reliable information.
[1]
Make three suggestions to help the journalist obtain a sample that may give more reliable information.
[3]
The diagram shows a straight line crossing two parallel lines.
Find the value of y. You must show your working.
[6]
The paper as printed
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